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Finding the Third Proportional to 44,146 and 67,238

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Solution

The third proportional to 44,146 and 67,238 is: 102,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,146 : 67,238 = 67,238 : x
  2. Step 2: Convert to fraction form
    44,146/67,238 = 67,238/x
  3. Step 3: Cross multiply
    44,146x = 67,238 × 67,238
  4. Step 4: Simplify right side
    44,146x = 4,520,948,644
  5. Step 5: Solve for x
    x = 4,520,948,644/44,146
  6. Step 6: Final answer
    x = 102,409.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.